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reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Alexander, Aiden, Charlotte, Noah, Jacob, Mia, Joseph, Daniel, and Luke. In a statement by Alexander: \"Joseph is a sage or (if Aiden is a fool then Mia is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1688, \"statements\": [[\"or\", [\"telling-truth\", 6], [\"->\", [\"lying\", 1], [\"lying\", 5]], [\"or\", [\"lying\", 7], [\"lying\", 6]], [\"telling-truth\", 3]], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 5]]],...
{"split": "train", "index": 12800}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Harper, Sebastian, Aria, Sophia, Mason, Jack, Samuel, Evelyn, and Logan. Harper stated, \"if (if Sophia is a hero then Evelyn is a hero) then Aria is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1689, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"telling-truth\", 2]], [\"->\", [\"<=>\", [\"lying\", 5], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"and\...
{"split": "train", "index": 12801}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Abigail, Grace, Ethan, Scarlett, Ella, James, Olivia, Jackson, and Alexander. Abigail remarked, \"it is not the case that (Olivia is a sage if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1690, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 7]]], [\"<=>\", [\"lying\", 5], [\"not\", [\"lying\", 5]]], [\"or\", [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"and\", [\"telling-truth\...
{"split": "train", "index": 12802}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Victoria, Aria, Ava, Benjamin, Sophia, Jack, Ella, Abigail, and Daniel. \"if (if Daniel is an altruist then Sophia is an egoist) then (Abigail ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1691, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 8], [\"lying\", 4]], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 0], [\"telling-tr...
{"split": "train", "index": 12803}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: James, Daniel, Avery, Sofia, Mason, Joseph, Luke, William, and Charlotte. \"(Mason is a sinner or Daniel is a saint or Mason is a saint or James is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1692, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 5], [\"lying\", 3]], [\"or\", [\"lying\", 8], [\"telling-truth\", 1...
{"split": "train", "index": 12804}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emma, Mia, Grace, Benjamin, Abigail, Lily, Liam, David, and Joseph. \"if (David is a saint or Joseph is a sinner or Abigail is a sinner) then (Joseph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1693, \"statements\": [[\"->\", [\"or\", [\"telling-truth\", 7], [\"lying\", 8], [\"lying\", 4]], [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"lying\", 8], [\"lying\", 6]]], [\"or\", [\"tell...
{"split": "train", "index": 12805}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Jack, Emma, Amelia, Ethan, Daniel, Victoria, Jackson, Benjamin, and Matthew. Jack noted, \"Amelia is a knight\". In a statement by Emma: \"(Ethan is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1694, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"or\", [\"lying\", 3], [\"lying\", 6]], [\"or\", [\"telling-truth\", 7], [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", 6]], [\"and\", [\"telling-truth\", 6], [\"t...
{"split": "train", "index": 12806}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: David, William, Chloe, Jack, Daniel, Oliver, Mason, Charlotte, and Penelope. David asserted: \"(Daniel is a sinner) and (Charlotte is a sinner if and...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1695, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 8], [\"telling-truth\", 1]]], [\"telling-truth\", 0], [\"->\", [\"or\", [\"te...
{"split": "train", "index": 12807}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Sophia, Henry, Riley, Emily, Ava, Samuel, Sebastian, Charlotte, and Matthew. Sophia commented, \"Ava is a devil or (Sebastian is a devil or Sebastian i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1696, \"statements\": [[\"or\", [\"lying\", 4], [\"or\", [\"lying\", 6], [\"telling-truth\", 6]]], [\"and\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"and\", [\"lying\", 5], [\"telling-truth\...
{"split": "train", "index": 12808}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Avery, Alexander, Sophia, Michael, Chloe, Aurora, Logan, Henry, and Sofia. Avery commented, \"it is not the case that (Sofia is an egoist)\". A...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1697, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 8]]], [\"<=>\", [\"telling-truth\", 5], [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 7], [\"lying\", 5]]], [\"not\", [\"telling-truth\", 7]], [\"->\", [\"a...
{"split": "train", "index": 12809}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Zoey, Mia, Harper, Oliver, Lily, Jack, Emma, Olivia, and Charlotte. Zoey told you that (Olivia is a knight if and only if Charlotte is a knight) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1698, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"lying\", 7], [\"lying\", 8]]], [\"<=>\", [\"<=>\", [\"lying\", 7], [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", ...
{"split": "train", "index": 12810}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Jacob, Matthew, Mason, Ella, Harper, Victoria, Henry, Ava, and Emma. According to Jacob, \"(Emma is a pioneer) if and only if (Mason is a lagga...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1699, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 8]], [\"and\", [\"lying\", 2], [\"telling-truth\", 0], [\"lying\", 3], [\"telling-truth\", 5]]], [\"<=>\", [\"or\", [\"lying\", 6], [\"lying\", 3], [\"lying\", 4]], [\"not...
{"split": "train", "index": 12811}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Ethan, Ella, Matthew, David, Riley, William, Scarlett, Lucas, and Elizabeth. Ethan told you that (if William is a sinner then David is a sinner) and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1700, \"statements\": [[\"and\", [\"->\", [\"lying\", 5], [\"lying\", 3]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"not\", [\"telling-truth\", 8]], [\"n...
{"split": "train", "index": 12812}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Isabella, Daniel, Jack, Victoria, Samuel, Ava, Scarlett, Jacob, and Abigail. Isabella remarked, \"it is not the case that (Samuel is a knight and Dan...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1701, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1], [\"telling-truth\", 8]]], [\"<=>\", [\"and\", [\"lying\", 8], [\"lying\", 6], [\"lying\", 4], [\"lying\", 5]], [\"or\", [\"telling-trut...
{"split": "train", "index": 12813}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Henry, Emma, Ella, Scarlett, Elizabeth, Liam, Grace, Sofia, and Aiden. Henry said, \"(Ella is a fool and Aiden is a sage and Liam is a fool and Henry is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1702, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 2], [\"telling-truth\", 8], [\"lying\", 5], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"lying\", 7], [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\...
{"split": "train", "index": 12814}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Lucas, Daniel, Isabella, Jacob, Oliver, Mason, Aurora, Olivia, and Grace. Lucas expressed that Oliver is a fool. Daniel noted, \"Olivia is a sage\". \"it i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1703, \"statements\": [[\"lying\", 4], [\"telling-truth\", 7], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 7], [\"->\", [\"lying\", 5], [\"lying\", 4]]], [\"not\"...
{"split": "train", "index": 12815}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lucas, Jackson, Victoria, Daniel, Grace, Harper, Oliver, Noah, and Jacob. Lucas noted, \"(Oliver is a knave) or (if Grace is a knight then Jackson is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1704, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 6]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"<=>\", [\"lying\", 6], [\"telling-truth\", 4]], [\"lying\", 3]], [\"->\", [\"->\", [\"lying\", 3],...
{"split": "train", "index": 12816}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aiden, Benjamin, Lucas, Aria, Ethan, David, Logan, Owen, and Emily. Aiden was heard saying, \"(Ethan is a knight) and (David is a knave if and only i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1705, \"statements\": [[\"and\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"lying\", 5], [\"lying\", 7]], [\"->\", [\"telling-truth\", 4], [\"lying\", 7]]], [\"telling-truth\", 1], [\"lying\", 7], [\"telling-truth\", 5], [\"not\"...
{"split": "train", "index": 12817}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Chloe, James, Grace, Joseph, Mia, David, Victoria, Samuel, and Evelyn. \"it is not the case that (Mia is a sage or Evelyn is a fool),\" Chloe declared. Jam...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1706, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 8]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"not\", [\"lying\", 0]]], [\"not\", [\"lying\", 8]], [\"or\", [\"not\", [\"lying\", 2]], [\"not\...
{"split": "train", "index": 12818}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Victoria, Sebastian, Alexander, Lily, Jackson, Oliver, Mia, William, and Sophia. Victoria said, \"Oliver is a villain or (Jackson is a hero or Oliver...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1707, \"statements\": [[\"or\", [\"lying\", 5], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 5], [\"lying\", 7], [\"telling-truth\", 0]]], [\"telling-truth\", 7], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", ...
{"split": "train", "index": 12819}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Sofia, Abigail, Zoey, Liam, Logan, Ella, William, Benjamin, and Chloe. \"if (William is an altruist and Ella is an egoist) then (if William is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1708, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 6], [\"lying\", 5]], [\"->\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"<=>\", [\"not\", [\"telling-truth\", 7]], [\"not\", [\"lying\", 6]]], [\"not\", [\"and\",...
{"split": "train", "index": 12820}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Aurora, Penelope, Benjamin, Henry, Joseph, Jack, Owen, Ethan, and Liam. Aurora expressed that it is not the case that (if Benjamin is a laggard...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1709, \"statements\": [[\"not\", [\"->\", [\"lying\", 2], [\"lying\", 3]]], [\"telling-truth\", 4], [\"or\", [\"lying\", 7], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"telling-truth\", 4], [\"->\"...
{"split": "train", "index": 12821}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Olivia, Charlotte, Mason, Scarlett, Samuel, Zoey, Isabella, Emma, and Sofia. Olivia commented, \"it is not the case that (Samuel is a devil or Olivia i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1710, \"statements\": [[\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 5]]], [\"or\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 7], [\"lying\", 0], [\"telling-truth\", ...
{"split": "train", "index": 12822}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Harper, Benjamin, Jack, Aurora, Olivia, Evelyn, Ava, Riley, and Mason. \"(Aurora is a saint or Harper is a saint or Riley is a sinner) or (if Aurora ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1711, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 0], [\"lying\", 7]], [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"not\", [\"lying\", 7]]], [\"or\", [\"not\", [\"telling-truth\", 4]]...
{"split": "train", "index": 12823}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Michael, Aiden, Olivia, Scarlett, William, Isabella, Liam, Lucas, and Lily. \"William is a sage if and only if Olivia is a sage,\" Michael declared. Aiden ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1712, \"statements\": [[\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 2]], [\"and\", [\"not\", [\"telling-truth\", 8]], [\"not\", [\"lying\", 8]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 6], [\"...
{"split": "train", "index": 12824}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Riley, Mason, Amelia, Aria, Lily, Abigail, Harper, Penelope, and Logan. Riley noted, \"(Mason is a knave if and only if Abigail is a knave) or (Lily ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1713, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 1], [\"lying\", 5]], [\"and\", [\"lying\", 4], [\"telling-truth\", 7], [\"lying\", 6]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 8]], [\"not\", [\"lying\", 5]]]...
{"split": "train", "index": 12825}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Isabella, Aiden, Amelia, Alexander, Elizabeth, Harper, Grace, Zoey, and Lucas. \"(Harper is an egoist) or (Zoey is an egoist) or (Amelia is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1714, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 5]], [\"not\", [\"telling-truth\", 7]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 2], [\"or\", [\"or\", [\"telling-truth\", 8], [\"telling-truth\", 4]...
{"split": "train", "index": 12826}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: David, Amelia, William, Victoria, Sofia, Oliver, Ethan, Lily, and Lucas. David said that (if Sofia is a pioneer then Oliver is a laggard) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1715, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 5]], [\"telling-truth\", 8]], [\"->\", [\"and\", [\"lying\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 8], [\"lying\", 6], ...
{"split": "train", "index": 12827}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: William, Luke, Penelope, Victoria, Aiden, Ethan, Riley, Avery, and Samuel. William told you that Ethan is a hero. Luke told you that Samuel is a vill...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1716, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"telling-truth\", 8]], [\"lying\", 6], [\"not\", [\"and\", [\"telling-truth\", 2], [\"lying\", 0], [\"telling-truth\", 3], [\"telling-truth\", 7]]], [\"or\", [\"->\", ...
{"split": "train", "index": 12828}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Sofia, David, Aria, Elizabeth, Abigail, Victoria, Ethan, Jack, and Logan. According to Sofia, \"David is a fool\". \"(Sofia is a fool if and only if Aria i...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1717, \"statements\": [[\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"<=>\", [\"lying\", 0], [\"lying\", 2]], [\"or\", [\"telling-truth\", 0], [\"lying\", 3], [\"lying\", 5]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"t...
{"split": "train", "index": 12829}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emily, Scarlett, Victoria, James, Matthew, Mason, Ava, Owen, and Joseph. Emily said that Ava is an egoist. Scarlett told you that (Victoria is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1718, \"statements\": [[\"lying\", 6], [\"<=>\", [\"<=>\", [\"lying\", 2], [\"lying\", 3]], [\"->\", [\"telling-truth\", 2], [\"lying\", 8]]], [\"telling-truth\", 8], [\"->\", [\"or\", [\"telling-truth\", 5], [\"lying\", 4], [...
{"split": "train", "index": 12830}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Sebastian, Samuel, Jackson, Logan, Jacob, Owen, Harper, Riley, and Avery. In a statement by Sebastian: \"if (Logan is a knave or Jacob is a knave or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1719, \"statements\": [[\"->\", [\"or\", [\"lying\", 3], [\"lying\", 4], [\"telling-truth\", 0], [\"lying\", 2]], [\"->\", [\"lying\", 1], [\"telling-truth\", 4]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"<=>\", [\"lyin...
{"split": "train", "index": 12831}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Matthew, Owen, Ava, Avery, Samuel, Olivia, Amelia, Ella, and Zoey. Matthew noted, \"it is not the case that (Owen is a laggard)\". According to...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1720, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 1]]], [\"lying\", 7], [\"<=>\", [\"->\", [\"telling-truth\", 5], [\"telling-truth\", 4]], [\"and\", [\"lying\", 5], [\"lying\", 4], [\"telling-truth\", 5]]], [\"an...
{"split": "train", "index": 12832}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Liam, Oliver, Jackson, Aiden, Matthew, Chloe, Jacob, Daniel, and Charlotte. As Liam put it, \"Daniel is a sage\". Oliver commented, \"it is not the case th...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1721, \"statements\": [[\"not\", [\"lying\", 7]], [\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 0], [\"lying\", 5]]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"lying\", 6]]], [\"and\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 12833}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Amelia, Jack, Matthew, Sebastian, James, Henry, Aiden, Harper, and William. Amelia remarked, \"if (Matthew is a sage if and only if Henry is a sage) then (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1722, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 5]], [\"and\", [\"lying\", 8], [\"telling-truth\", 6]]], [\"or\", [\"telling-truth\", 5], [\"not\", [\"lying\", 5]]], [\"telling-truth\", 1]...
{"split": "train", "index": 12834}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Avery, David, Lucas, Grace, Ethan, Lily, Owen, Noah, and Sofia. \"Owen is an angel,\" Avery declared. David said that (Avery is an angel if and only if...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1723, \"statements\": [[\"telling-truth\", 6], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]], [\"and\", [\"lying\", 0], [\"telling-truth\", 7], [\"lying\", 3]], [\"not\", [\"lying\", 6]], [\"and\", [\"lying\", 7],...
{"split": "train", "index": 12835}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Joseph, William, Oliver, Jack, Sophia, Daniel, Sofia, Owen, and Liam. Joseph commented, \"(Sophia is a sinner if and only if Joseph is a saint) or (S...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1724, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 7], [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"tellin...
{"split": "train", "index": 12836}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Joseph, Jacob, Liam, Noah, Aiden, Charlotte, Zoey, Owen, and Ava. Joseph asserted: \"(Ava is a saint if and only if Owen is a sinner) if and only if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1725, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]], [\"lying\", 7]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"<=>\", [\"->\", [\"lying\", 7], [\"telling-truth\", 3]], [\"...
{"split": "train", "index": 12837}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Noah, Elizabeth, Aria, Avery, Michael, Scarlett, Benjamin, Emily, and David. Noah said that if (Emily is an altruist if and only if Michael is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1726, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 4]], [\"telling-truth\", 7]], [\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 7]], [\"->\", [\"lying\", 3], [\"lying\", 0]],...
{"split": "train", "index": 12838}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Abigail, Penelope, Victoria, Logan, Benjamin, Michael, Oliver, Avery, and Matthew. Abigail commented, \"it is not the case that (if Penelope is a devil...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1727, \"statements\": [[\"not\", [\"->\", [\"lying\", 1], [\"lying\", 7]]], [\"lying\", 3], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 2], [\"te...
{"split": "train", "index": 12839}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Charlotte, Mason, Scarlett, Lily, Mia, Benjamin, Oliver, Sebastian, and James. Charlotte said, \"(if Lily is a hero then Mason is a villain) or Scarl...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1728, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 3], [\"lying\", 1]], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 4], [\"lying\", 5]]], ...
{"split": "train", "index": 12840}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Logan, Victoria, Olivia, Avery, Sofia, Harper, Zoey, Elizabeth, and Aurora. Logan commented, \"(Aurora is a hero or Olivia is a villain or Elizabeth ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1729, \"statements\": [[\"<=>\", [\"or\", [\"telling-truth\", 8], [\"lying\", 2], [\"telling-truth\", 7], [\"telling-truth\", 2]], [\"->\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"telling-truth\", 7], [\"->\", [\"lying\"...
{"split": "train", "index": 12841}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Charlotte, Jackson, Jack, Luke, Scarlett, Owen, Victoria, Alexander, and William. Charlotte remarked, \"(Jack is an egoist if and only if Willi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1730, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 8]], [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"lying\", 2], [\"not\", [\"lying\", 1]]], [\"or\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"t...
{"split": "train", "index": 12842}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Daniel, Oliver, Henry, Logan, Isabella, Jacob, Amelia, Zoey, and Lucas. In Daniel's words: \"(Oliver is a hero) and (Amelia is a villain or Zoey is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1731, \"statements\": [[\"and\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 6], [\"telling-truth\", 7], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"->\", [\"lying\", 8], [\"or\", [\"lying\", 8], [\"tel...
{"split": "train", "index": 12843}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Zoey, Lily, Jacob, William, James, Noah, Emma, Olivia, and Luke. Zoey said that William is an angel if and only if (if Jacob is a devil then James is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1732, \"statements\": [[\"<=>\", [\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 6], [\"telling-truth\", 4], [\"lying\", 6], [\"telling-truth\", 2]], [\"lying\",...
{"split": "train", "index": 12844}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Elizabeth, Jack, Aria, Owen, Isabella, Victoria, Olivia, Mason, and Joseph. \"Joseph is a devil,\" Elizabeth declared. Jack was heard saying, \"(if Oli...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1733, \"statements\": [[\"lying\", 8], [\"and\", [\"->\", [\"lying\", 6], [\"telling-truth\", 0]], [\"lying\", 6], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 6], [\"not\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]]...
{"split": "train", "index": 12845}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Daniel, Owen, Chloe, Matthew, Noah, Henry, Grace, Ella, and James. In a statement by Daniel: \"if (Grace is a hero if and only if Henry is a villain)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1734, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 5]]], [\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 2], [\"telling-tr...
{"split": "train", "index": 12846}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mason, William, Charlotte, Jacob, Ella, Henry, Avery, Aurora, and Lily. Mason remarked, \"(Charlotte is a hero if and only if William is a hero) if a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1735, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 1], [\"telling-truth\", 6], [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"or\", [\"->\", [\"lying\", 0], [...
{"split": "train", "index": 12847}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Penelope, Sebastian, Victoria, Grace, Aurora, Zoey, Ava, Mason, and Ella. \"Ella is a sage,\" Penelope mentioned. Sebastian said that if (Ava is a sage if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1736, \"statements\": [[\"telling-truth\", 8], [\"->\", [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 5], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 0]], [\"or\", ...
{"split": "train", "index": 12848}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Benjamin, Michael, Liam, Noah, Daniel, Oliver, Lily, Matthew, and Penelope. Benjamin was heard saying, \"Penelope is a saint\". Michael said, \"(Oliv...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1737, \"statements\": [[\"telling-truth\", 8], [\"or\", [\"or\", [\"lying\", 5], [\"telling-truth\", 6], [\"telling-truth\", 3]], [\"->\", [\"lying\", 0], [\"telling-truth\", 6]], [\"or\", [\"lying\", 7], [\"telling-truth\", 0...
{"split": "train", "index": 12849}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Isabella, Ella, Owen, Emily, Elizabeth, Aiden, Liam, Alexander, and Avery. \"(Alexander is a villain or Elizabeth is a villain or Ella is a hero) if ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1738, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 7], [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"telling-truth\", 2], [\"not\", [\"<=>\", [\"lying\", 8], [\"lying\", 1]]]...
{"split": "train", "index": 12850}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Jacob, Scarlett, Olivia, Aria, Victoria, David, Samuel, Daniel, and Abigail. \"Olivia is an egoist,\" Jacob mentioned. Scarlett expressed that ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1739, \"statements\": [[\"not\", [\"telling-truth\", 2]], [\"->\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"lying\", 5]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 5]], [\"lying\", 0]], [\"lying\", 7], [\...
{"split": "train", "index": 12851}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Evelyn, Emily, Elizabeth, Grace, Amelia, Matthew, Ella, Penelope, and Lily. In a statement by Evelyn: \"Penelope is a saint\". Emily said that it is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1740, \"statements\": [[\"telling-truth\", 7], [\"not\", [\"not\", [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"not\", [\"not\", [\"lying\", 0]]], [\"lying\", 2], [\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-...
{"split": "train", "index": 12852}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Michael, Aiden, Matthew, Amelia, Henry, Lily, William, Jackson, and Mason. According to Michael, \"it is not the case that (Henry is an altruis...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1741, \"statements\": [[\"not\", [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 7], [\"lying\", 6]]], [\"<=>\", [\"->\", [\"lying\", 2], [\"telling-truth\", 5]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 0]]]...
{"split": "train", "index": 12853}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Jack, Abigail, Riley, Emma, Ella, Chloe, Daniel, Isabella, and Ava. \"(if Chloe is an angel then Ella is a devil) or (Jack is an angel or Ella is a dev...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1742, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 5], [\"lying\", 4]], [\"or\", [\"telling-truth\", 0], [\"lying\", 4], [\"lying\", 8]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"->\", [\"lying\", 0], [\"lyin...
{"split": "train", "index": 12854}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Lily, Joseph, Riley, Noah, Logan, Ava, William, Sofia, and Victoria. Lily commented, \"it is not the case that (William is a villain and Noah is a he...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1743, \"statements\": [[\"not\", [\"and\", [\"lying\", 6], [\"telling-truth\", 3], [\"telling-truth\", 6]]], [\"not\", [\"not\", [\"lying\", 8]]], [\"<=>\", [\"or\", [\"telling-truth\", 6], [\"lying\", 8], [\"lying\", 1], [\"t...
{"split": "train", "index": 12855}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aiden, Grace, Scarlett, Zoey, Henry, James, Lily, Ava, and Oliver. Aiden asserted: \"James is an angel\". Grace commented, \"Oliver is an angel\". Scar...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1744, \"statements\": [[\"telling-truth\", 5], [\"telling-truth\", 8], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 8], [...
{"split": "train", "index": 12856}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Abigail, Emily, James, Mia, Isabella, Oliver, Lucas, Benjamin, and William. Abigail was heard saying, \"it is not the case that (Isabella is a ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1745, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"lying\", 3], [\"->\", [\"telling-truth\", 8], [\"->\", [\"lying\", 8], [\"telling-truth\", 8]]], [\"->\", [\"->\", [\"lying\", 4], [\"lying\", 6]], [\"->\...
{"split": "train", "index": 12857}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Alexander, James, Elizabeth, Daniel, Aiden, Mason, Penelope, Henry, and Harper. Alexander told you that James is a saint. James expressed that (Penel...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1746, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"not\", [\"lying\", 6]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 4], [\"telling-truth\", 2]], [\"->\", [\"lying\", 7], [\"lying\", 3]]], [\"->\", [\"-...
{"split": "train", "index": 12858}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Isabella, Scarlett, Avery, Daniel, Jacob, Owen, Mason, Alexander, and Emma. As Isabella put it, \"Jacob is a devil\". According to Scarlett, \"Alexande...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1747, \"statements\": [[\"lying\", 4], [\"telling-truth\", 7], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 6], [\"lying\", 5]]], [\"lying\", 1], [\"or\", [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 7]], [...
{"split": "train", "index": 12859}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Michael, James, Matthew, Evelyn, Alexander, Olivia, Grace, Aria, and Noah. Michael expressed that Evelyn is a knave. James remarked, \"(Grace is a kn...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1748, \"statements\": [[\"lying\", 3], [\"<=>\", [\"and\", [\"lying\", 6], [\"telling-truth\", 2], [\"lying\", 0]], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 2]]], [\"->\", [\"telling-truth\", 6], [\"telling-truth\", 3]], ...
{"split": "train", "index": 12860}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Samuel, Emily, Owen, Aurora, Matthew, Benjamin, David, Daniel, and Sophia. Samuel told you that (Daniel is a laggard and Sophia is a pioneer an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1749, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 7], [\"telling-truth\", 8], [\"lying\", 5]], [\"not\", [\"lying\", 6]]], [\"not\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0], [\"lying\", 5], [\"telling-truth\", 0]...
{"split": "train", "index": 12861}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lily, Ella, Henry, Mason, Sophia, Lucas, Mia, Daniel, and Joseph. \"Ella is a saint\" - Lily. Ella stated, \"(Lily is a sinner) or (Daniel is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1750, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 7]]], [\"telling-truth\", 4], [\"or\", [\"lying\", 5], [\"not\", [\"telling-truth\", 7]], [\"<=>\", [\"ly...
{"split": "train", "index": 12862}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Zoey, Jack, Evelyn, Lucas, Avery, Ethan, Jacob, Riley, and Mason. As Zoey put it, \"if (Jack is a sinner) then (Avery is a saint and Riley is a sinne...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1751, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"telling-truth\", 4], [\"lying\", 7], [\"lying\", 2]]], [\"not\", [\"->\", [\"lying\", 7], [\"lying\", 4]]], [\"->\", [\"->\", [\"lying\", 0], [\"l...
{"split": "train", "index": 12863}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Aiden, Liam, Joseph, Alexander, Owen, Isabella, Mia, Chloe, and Jack. Aiden noted, \"(Owen is an egoist) or (Mia is an egoist) or (Aiden is an ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1752, \"statements\": [[\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4], [\"lying\", 6]], [\"and\", [\"telling-truth\", 1], [\"telling-truth...
{"split": "train", "index": 12864}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Aurora, Noah, Sebastian, Chloe, Riley, Ethan, Emma, Samuel, and Matthew. Aurora noted, \"if Riley is a fool then (Sebastian is a sage)\". Noah asserted: \"...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1753, \"statements\": [[\"->\", [\"lying\", 4], [\"not\", [\"lying\", 2]]], [\"lying\", 7], [\"<=>\", [\"lying\", 5], [\"not\", [\"lying\", 6]]], [\"<=>\", [\"and\", [\"telling-truth\", 0], [\"lying\", 5], [\"lying\", 2], [\"t...
{"split": "train", "index": 12865}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: David, Isabella, Alexander, Aurora, Luke, Grace, Emily, Emma, and Aiden. David commented, \"(Emily is an altruist and Isabella is an altruist) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1754, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 6], [\"telling-truth\", 1]], [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 4], [\"->\", [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]],...
{"split": "train", "index": 12866}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Joseph, Charlotte, Evelyn, David, Henry, Owen, James, Grace, and Jackson. As Joseph put it, \"David is an angel\". Charlotte stated, \"it is not the ca...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1755, \"statements\": [[\"not\", [\"lying\", 3]], [\"not\", [\"->\", [\"lying\", 8], [\"lying\", 3]]], [\"and\", [\"and\", [\"lying\", 6], [\"telling-truth\", 4], [\"lying\", 7]], [\"<=>\", [\"lying\", 6], [\"lying\", 7]]], [\...
{"split": "train", "index": 12867}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mason, Aria, James, Emma, Sebastian, Mia, Benjamin, Sophia, and Lucas. Mason commented, \"Mia is an altruist\". Aria expressed that it is not t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1756, \"statements\": [[\"telling-truth\", 5], [\"not\", [\"or\", [\"telling-truth\", 2], [\"lying\", 8], [\"telling-truth\", 7], [\"lying\", 5]]], [\"->\", [\"lying\", 7], [\"->\", [\"lying\", 1], [\"lying\", 6]]], [\"or\", [...
{"split": "train", "index": 12868}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Jacob, Ava, Alexander, Joseph, Sofia, Ethan, Scarlett, Aiden, and Ella. \"Ethan is a sinner,\" Jacob mentioned. As Ava put it, \"it is not the case t...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1757, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"not\", [\"not\", [\"telling-truth\", 8]]], [\"or\", [\"not\", [\"telling-truth\", 7]], [\"and\", [\"telling-truth\", 5], [\"lying\", 4], [\"telling-truth\", 4], [\"l...
{"split": "train", "index": 12869}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Emily, Owen, Riley, Mason, Aria, Scarlett, Aiden, Ethan, and Evelyn. \"(if Evelyn is a saint then Ethan is a sinner) or (if Emily is a saint then Ari...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1758, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 8], [\"lying\", 7]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"lying\", 2], [\"<=>\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 6]], [...
{"split": "train", "index": 12870}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: David, Samuel, Harper, Ethan, Sofia, Mason, Matthew, Henry, and Charlotte. David expressed that it is not the case that (Matthew is a sinner or Henry...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1759, \"statements\": [[\"not\", [\"or\", [\"lying\", 6], [\"lying\", 7], [\"lying\", 5]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 5], [\"telling-truth\", 1]], [\"telling-truth\", 7]], [\"->\", [\"or\", [\"telling-truth\", 6]...
{"split": "train", "index": 12871}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: David, Jackson, Michael, Harper, Lily, Riley, Alexander, Logan, and Henry. David asserted: \"(Harper is an egoist) if and only if (if Harper is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1760, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"lying\", 8]]], [\"and\", [\"not\", [\"lying\", 0]], [\"or\", [\"telling-truth\", 6], [\"lying\", 7]], [\"telling-truth\", 7]], [\"...
{"split": "train", "index": 12872}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Charlotte, Amelia, Jackson, Victoria, Matthew, Scarlett, James, Noah, and Aiden. Charlotte asserted: \"it is not the case that (James is a knight or ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1761, \"statements\": [[\"not\", [\"or\", [\"telling-truth\", 6], [\"lying\", 2], [\"telling-truth\", 5], [\"telling-truth\", 7]]], [\"<=>\", [\"<=>\", [\"lying\", 6], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 6], [\"lyin...
{"split": "train", "index": 12873}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Henry, Jack, Aria, Aiden, Emily, William, Sebastian, Noah, and Benjamin. \"William is a fool,\" Henry declared. Jack asserted: \"it is not the case that (N...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1762, \"statements\": [[\"not\", [\"telling-truth\", 5]], [\"not\", [\"not\", [\"lying\", 7]]], [\"lying\", 8], [\"not\", [\"lying\", 0]], [\"not\", [\"or\", [\"lying\", 2], [\"telling-truth\", 1], [\"telling-truth\", 6]]], [\...
{"split": "train", "index": 12874}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Abigail, Matthew, Daniel, Aria, Mason, Avery, Lucas, Jacob, and Victoria. Abigail expressed that if Daniel is a knave then (if Jacob is a knave then ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1763, \"statements\": [[\"->\", [\"lying\", 2], [\"->\", [\"lying\", 7], [\"telling-truth\", 4]]], [\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"lying\", 7]], [\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"an...
{"split": "train", "index": 12875}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Jackson, Scarlett, Grace, Samuel, Henry, Lucas, Sophia, Sofia, and Olivia. Jackson noted, \"(Jackson is a sage or Olivia is a sage or Henry is a sage or Lu...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1764, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 8], [\"telling-truth\", 4], [\"telling-truth\", 5]], [\"and\", [\"telling-truth\", 8], [\"telling-truth\", 2], [\"lying\", 7], [\"lying\", 4...
{"split": "train", "index": 12876}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Lucas, Benjamin, Owen, Evelyn, Scarlett, Elizabeth, Alexander, Jack, and Oliver. In a statement by Lucas: \"if (Owen is a sinner if and only if Benja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1765, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 2], [\"lying\", 1]], [\"lying\", 8]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 7]], [\"->\", [\"lying\", 5], [\"telling-truth\", 0]], [\"not\", [\"telling-tru...
{"split": "train", "index": 12877}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 9 inhabitants: Riley, Mia, Chloe, Abigail, Joseph, Evelyn, Sebastian, Matthew, and Logan. Riley noted, \"if (Abigail is a sage and Sebastian is a sage and Matthew is a fo...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1766, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 6], [\"lying\", 7]], [\"and\", [\"lying\", 7], [\"lying\", 3], [\"lying\", 6]]], [\"->\", [\"and\", [\"lying\", 8], [\"telling-truth\", 2], ...
{"split": "train", "index": 12878}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Elizabeth, Aiden, Michael, Noah, Evelyn, Emma, Alexander, Liam, and Oliver. \"if (Oliver is a pioneer if and only if Noah is a laggard) then (E...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1767, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 3]], [\"and\", [\"lying\", 5], [\"lying\", 2]]], [\"->\", [\"or\", [\"lying\", 5], [\"telling-truth\", 4]], [\"not\", [\"lying\", 3]]], [\"or\", [\"...
{"split": "train", "index": 12879}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Mia, Owen, Logan, Avery, Noah, Oliver, Isabella, Evelyn, and Sebastian. Mia expressed that (if Avery is a sinner then Evelyn is a sinner) and (Sebast...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1768, \"statements\": [[\"and\", [\"->\", [\"lying\", 3], [\"lying\", 7]], [\"and\", [\"lying\", 8], [\"lying\", 5]]], [\"<=>\", [\"not\", [\"lying\", 6]], [\"telling-truth\", 2]], [\"->\", [\"or\", [\"lying\", 7], [\"lying\",...
{"split": "train", "index": 12880}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Mia, David, James, Benjamin, Liam, Charlotte, Ella, Evelyn, and Isabella. \"Ella is a hero,\" Mia declared. David remarked, \"(Mia is a villain if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1769, \"statements\": [[\"telling-truth\", 6], [\"and\", [\"<=>\", [\"lying\", 0], [\"lying\", 7]], [\"lying\", 4], [\"<=>\", [\"telling-truth\", 6], [\"lying\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 7]...
{"split": "train", "index": 12881}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Benjamin, Lily, Liam, Riley, Noah, Samuel, Charlotte, Michael, and Chloe. According to Benjamin, \"(Samuel is an altruist) or (Chloe is an egoi...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1770, \"statements\": [[\"or\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"lying\", 8], [\"telling-truth\", 1]], [\"or\", [\"lying\", 5], [\"telling-truth\", 2]], [\"not\", [\"lying\", 3]]], [\"->\", [\"or\", [\"telling-truth\", ...
{"split": "train", "index": 12882}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Oliver, Avery, Charlotte, Scarlett, Olivia, Aurora, Victoria, Mia, and Alexander. \"(Scarlett is a laggard and Scarlett is a pioneer and Victor...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1771, \"statements\": [[\"and\", [\"and\", [\"lying\", 3], [\"telling-truth\", 3], [\"lying\", 6]], [\"<=>\", [\"lying\", 7], [\"telling-truth\", 6]], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 6]], [\"not\", [\"lying\", 5]...
{"split": "train", "index": 12883}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Mia, Ethan, Liam, Victoria, Michael, Ava, Daniel, Grace, and Zoey. \"it is not the case that (if Grace is an altruist then Liam is an altruist)...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1772, \"statements\": [[\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 2]]], [\"not\", [\"<=>\", [\"lying\", 2], [\"lying\", 6]]], [\"->\", [\"not\", [\"telling-truth\", 8]], [\"and\", [\"telling-truth\", 8], [\...
{"split": "train", "index": 12884}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Ava, William, Jacob, Lucas, Matthew, James, Benjamin, Luke, and Owen. In a statement by Ava: \"(James is an egoist and Lucas is an egoist) or (...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1773, \"statements\": [[\"or\", [\"and\", [\"lying\", 5], [\"lying\", 3]], [\"or\", [\"telling-truth\", 3], [\"lying\", 6], [\"lying\", 5]]], [\"not\", [\"not\", [\"telling-truth\", 2]]], [\"and\", [\"not\", [\"telling-truth\"...
{"split": "train", "index": 12885}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: David, Ethan, Noah, Scarlett, Logan, Zoey, Michael, Avery, and Penelope. David said, \"it is not the case that (Noah is a laggard or Michael is...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1774, \"statements\": [[\"not\", [\"or\", [\"lying\", 2], [\"lying\", 6], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"lying\", 5], [\"telling-truth\", 1]], [\"telling-truth\", 4]], [\"not\", [\"lying\", 5]], [\"not\", [\"...
{"split": "train", "index": 12886}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Samuel, Ava, Henry, Scarlett, Noah, Aurora, Michael, Avery, and Matthew. Samuel expressed that if (Noah is a knave if and only if Aurora is a knave) ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1775, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 5]], [\"lying\", 5]], [\"not\", [\"->\", [\"telling-truth\", 7], [\"telling-truth\", 6]]], [\"<=>\", [\"or\", [\"lying\", 4], [\"telling-truth\", 1], [\"tel...
{"split": "train", "index": 12887}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Emma, Ethan, Daniel, Harper, Michael, Aria, Samuel, Lucas, and Logan. Emma remarked, \"if (Logan is an altruist if and only if Samuel is an ego...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1776, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 8], [\"lying\", 6]], [\"and\", [\"lying\", 6], [\"lying\", 4], [\"telling-truth\", 5], [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"lying\", 5]], [\"not\", [\"t...
{"split": "train", "index": 12888}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Aurora, Abigail, Scarlett, David, Grace, Chloe, Avery, Daniel, and Benjamin. Aurora told you that (Daniel is a knight and Benjamin is a knight) if an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1777, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 7], [\"telling-truth\", 8]], [\"<=>\", [\"telling-truth\", 6], [\"telling-truth\", 0]]], [\"<=>\", [\"or\", [\"lying\", 3], [\"telling-truth\", 2], [\"lying\", 0],...
{"split": "train", "index": 12889}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: William, Emma, Sophia, Ava, Sofia, Avery, Michael, Jack, and Mia. William remarked, \"if (if Ava is an egoist then Sofia is an egoist) then (Ja...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1778, \"statements\": [[\"->\", [\"->\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 7], [\"telling-truth\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"not\", [\"telling-tr...
{"split": "train", "index": 12890}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Aurora, Penelope, Riley, Harper, Oliver, Grace, Elizabeth, Charlotte, and Sofia. \"(Sofia is a devil if and only if Oliver is a devil) or (Oliver is an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1779, \"statements\": [[\"or\", [\"<=>\", [\"lying\", 8], [\"lying\", 4]], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]], [\"lying\", 3]], [\"not\", [\"lying\", 0]], [\"and\", [\"->\", [\"telling-truth\", 2], [\"lying\", 4]...
{"split": "train", "index": 12891}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 9 inhabitants: Lily, Ethan, Abigail, Jack, Jacob, Avery, Noah, Riley, and Elizabeth. \"(Avery is a knight) and (Avery is a knight if and only if Noah is a knave) an...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1780, \"statements\": [[\"and\", [\"not\", [\"lying\", 5]], [\"<=>\", [\"telling-truth\", 5], [\"lying\", 6]], [\"or\", [\"lying\", 6], [\"telling-truth\", 8]]], [\"not\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"...
{"split": "train", "index": 12892}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Joseph, Emily, Aiden, Harper, Mason, Grace, William, Chloe, and Evelyn. Joseph stated, \"Evelyn is a devil\". Emily said, \"(Chloe is an angel) if and ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1781, \"statements\": [[\"lying\", 8], [\"<=>\", [\"not\", [\"lying\", 7]], [\"->\", [\"lying\", 4], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 5], [\"lying\", 1], [\"lying\", 0], [\"lying\", 8]], [\"and\", [\"telling-tr...
{"split": "train", "index": 12893}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Samuel, Michael, Benjamin, Zoey, Avery, Alexander, Sophia, Owen, and Charlotte. In Samuel's words: \"(Benjamin is a pioneer if and only if Soph...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1782, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 6]], [\"telling-truth\", 8], [\"or\", [\"telling-truth\", 5], [\"lying\", 5], [\"lying\", 7]], [\"<=>\", [\"telling-truth\", 3], [\"telling-...
{"split": "train", "index": 12894}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 9 inhabitants: Isabella, Alexander, Aria, Sophia, Matthew, Victoria, Penelope, Sebastian, and Noah. Isabella was heard saying, \"Matthew is a hero\". As Alexander p...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1783, \"statements\": [[\"telling-truth\", 4], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"not\", [\"telling-truth\", 5]]], [\"not\", [\"not\", [\"lying\", 1]]], [\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 1...
{"split": "train", "index": 12895}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 9 inhabitants: Lucas, Mia, Aiden, William, Liam, Ethan, Sofia, Grace, and Scarlett. \"(Lucas is an egoist) and (Grace is an egoist and Mia is an egoist)\" - L...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1784, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 7], [\"lying\", 1]]], [\"telling-truth\", 6], [\"<=>\", [\"not\", [\"telling-truth\", 6]], [\"or\", [\"telling-truth\", 3], [\"lying\", ...
{"split": "train", "index": 12896}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 9 inhabitants: Charlotte, Harper, Matthew, Henry, Logan, Liam, Chloe, Abigail, and Daniel. Charlotte noted, \"if Logan is a saint then (Chloe is a saint or Liam is ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1785, \"statements\": [[\"->\", [\"telling-truth\", 4], [\"or\", [\"telling-truth\", 6], [\"lying\", 5]]], [\"or\", [\"or\", [\"lying\", 2], [\"telling-truth\", 5], [\"telling-truth\", 8]], [\"or\", [\"telling-truth\", 2], [\"...
{"split": "train", "index": 12897}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 9 inhabitants: Emma, Abigail, Logan, Zoey, Isabella, Jacob, Owen, Henry, and Matthew. \"(Logan is a devil and Abigail is an angel and Abigail is a devil and Zoey is a...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1786, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 1], [\"lying\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 7]], [\"telling-truth\", 2]], [\"->\", [\"->\", ...
{"split": "train", "index": 12898}
reasoning_gym
[{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 9 inhabitants: Charlotte, Matthew, Elizabeth, Sebastian, Aiden, Aria, Liam, Grace, and David. \"Matthew is a pioneer\" - Charlotte. Matthew was heard saying, ...
reasoning_gym
{"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1787, \"statements\": [[\"telling-truth\", 1], [\"and\", [\"and\", [\"telling-truth\", 5], [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 7], [\"lying\", 0], [\"telling-truth\", 0], [\"lying\...
{"split": "train", "index": 12899}